FRACTIONS


Adding Mixed Numbers

When Mixed Numbers are Added, those

Mixed Numbers must first be changed to Improper Fractions.




1
3

8
+
2
1

8



To add these mixed numbers, change them to improper fractions.


11

8
+
17

8



With like denominators, add the numerators.

The sum of the numerators becomes the new numerator.

The denominator remains the same.



11

8
+
17

8
=
28

8



If the answer results in an improper fraction, then

change that improper fraction to a mixed number.


28

8
=
3
4

8



If the resulting proper fraction can be reduced, then do so.

3
4

8
=
3
1

2




With unlike denominators, the improper fractions

must first be changed to improper fractions with

like denominators.



2
1

3
+
1
1

2


7

3
+
3

2



14

6
+
9

6



14

6
+
9

6
=
23

6



23

6
=
3
5

6




RULE

Adding Mixed Numbers
Change the Mixed Numbers to Improper Fractions.

If the Denominators are different, change those Improper

   Fractions to Improper Fractions with Like Denominators.

   Otherwise, keep the same Denominator.

Add the Numerators, keeping the Like Denominator.

Change any Improper Fraction to a Mixed Number.

If the Proper Fraction can be Reduced, then do so.